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11315253334401 = 321966171072131
BaseRepresentation
bin1010010010101000100110…
…1001111101000110000001
31111001201122110102101012200
42210222021221331012001
52440342114323200101
640022053340343413
72245333345255452
oct244521151750601
944051573371180
1011315253334401
1136728545790a5
121328b7b544b69
1364104040b003
142b1938405129
1514950801e986
hexa4a89a7d181

11315253334401 has 12 divisors (see below), whose sum is σ = 17204478754320. Its totient is φ = 7146475790040.

The previous prime is 11315253334351. The next prime is 11315253334453. The reversal of 11315253334401 is 10443335251311.

11315253334401 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 52 + 533 + 34 + 40 + 1 = 666.

It is not a de Polignac number, because 11315253334401 - 26 = 11315253334337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11315253330401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33085535895 + ... + 33085536236.

It is an arithmetic number, because the mean of its divisors is an integer number (1433706562860).

Almost surely, 211315253334401 is an apocalyptic number.

It is an amenable number.

11315253334401 is a deficient number, since it is larger than the sum of its proper divisors (5889225419919).

11315253334401 is a wasteful number, since it uses less digits than its factorization.

11315253334401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66171072156 (or 66171072153 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 11315253334401 its reverse (10443335251311), we get a palindrome (21758588585712).

The spelling of 11315253334401 in words is "eleven trillion, three hundred fifteen billion, two hundred fifty-three million, three hundred thirty-four thousand, four hundred one".

Divisors: 1 3 9 19 57 171 66171072131 198513216393 595539649179 1257250370489 3771751111467 11315253334401